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Finding the Fourth Proportional to 5,806.48, 8,709.71 and 1,646.52

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Solution

The fourth proportional to 5,806.48, 8,709.71 and 1,646.52 is: 2,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.48 : 8,709.71 = 1,646.52 : x
  2. Step 2: Convert to fraction form
    5,806.48/8,709.71 = 1,646.52/x
  3. Step 3: Cross multiply
    5,806.48x = 8,709.71 × 1,646.52
  4. Step 4: Simplify right side
    5,806.48x = 14,340,711.71
  5. Step 5: Solve for x
    x = 14,340,711.71/5,806.48
  6. Step 6: Final answer
    x = 2,469.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.